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Finding the Fourth Proportional to 14,904.78, 20,568.09 and 8,189.98

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Solution

The fourth proportional to 14,904.78, 20,568.09 and 8,189.98 is: 11,301.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,904.78 : 20,568.09 = 8,189.98 : x
  2. Step 2: Convert to fraction form
    14,904.78/20,568.09 = 8,189.98/x
  3. Step 3: Cross multiply
    14,904.78x = 20,568.09 × 8,189.98
  4. Step 4: Simplify right side
    14,904.78x = 168,452,225.03
  5. Step 5: Solve for x
    x = 168,452,225.03/14,904.78
  6. Step 6: Final answer
    x = 11,301.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.